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In this paper, we consider the problem of learning a neural network controller for a system required to satisfy a Signal Temporal Logic (STL) specification. We exploit STL quantitative semantics to define a notion of robust satisfaction.…

Systems and Control · Electrical Eng. & Systems 2023-04-14 Wenliang Liu , Wei Xiao , Calin Belta

Continuous-time control of multiple quadrotors in constrained environments under signal temporal logic (STL) specifications is critical due to their nonlinear dynamics, safety constraints, and the requirement to ensure continuous-time…

Systems and Control · Electrical Eng. & Systems 2026-03-31 Yating Yuan , Yu Liu

A challenging problem for autonomous systems is to synthesize a reactive controller that conforms to a set of given correctness properties. Linear temporal logic (LTL) provides a formal language to specify the desired behavioral properties…

Formal Languages and Automata Theory · Computer Science 2019-10-08 Rayna Dimitrova , Mahsa Ghasemi , Ufuk Topcu

This paper presents a control strategy based on a new notion of time-varying fixed-time convergent control barrier functions (TFCBFs) for a class of coupled multi-agent systems under signal temporal logic (STL) tasks. In this framework,…

Systems and Control · Electrical Eng. & Systems 2021-03-30 Maryam Sharifi , Dimos V. Dimarogonas

The control synthesis of a dynamic system subject to a signal temporal logic (STL) specification is commonly formulated as a mixed-integer linear/convex programming (MILP/MICP) problem. Solving such a problem is computationally expensive…

Systems and Control · Electrical Eng. & Systems 2023-09-18 Zengjie Zhang , Sofie Haesaert

This tutorial paper presents recent work of the authors that extends the theory of Control Barrier Functions (CBFs) to address practical challenges in the synthesis of safe controllers for autonomous systems and robots. We present novel…

Optimization and Control · Mathematics 2023-12-29 Kunal Garg , James Usevitch , Joseph Breeden , Mitchell Black , Devansh Agrawal , Hardik Parwana , Dimitra Panagou

Autonomous robotic systems require advanced control frameworks to achieve complex temporal objectives that extend beyond conventional stability and trajectory tracking. Signal Temporal Logic (STL) provides a formal framework for specifying…

Systems and Control · Electrical Eng. & Systems 2025-04-29 Kazunobu Serizawa , Kazumune Hashimoto , Wataru Hashimoto , Masako Kishida , Shigemasa Takai

We propose algorithms for performing model checking and control synthesis for discrete-time uncertain systems under linear temporal logic (LTL) specifications. We construct temporal logic trees (TLT) from LTL formulae via reachability…

Systems and Control · Electrical Eng. & Systems 2020-07-07 Yulong Gao , Alessandro Abate , Frank J. Jiang , Mirco Giacobbe , Lihua Xie , Karl H. Johansson

We propose a signal temporal logic (STL)-based framework that rigorously verifies the feasibility of a mission described in STL and synthesizes control to safely execute it. The proposed framework ensures safe and reliable operation through…

Systems and Control · Electrical Eng. & Systems 2026-02-27 Joonwon Choi , Kartik Anand Pant , Youngim Nam , Henry Hellmann , Karthik Nune , Inseok Hwang

We propose a framework based on Recurrent Neural Networks (RNNs) to determine an optimal control strategy for a discrete-time system that is required to satisfy specifications given as Signal Temporal Logic (STL) formulae. RNNs can store…

Systems and Control · Electrical Eng. & Systems 2020-09-25 Wenliang Liu , Noushin Mehdipour , Calin Belta

In many applications, the integrals and derivatives of signals carry valuable information (e.g., cumulative success over a time window, the rate of change) regarding the behavior of the underlying system. In this paper, we extend the…

Systems and Control · Electrical Eng. & Systems 2021-03-29 Ali Tevfik Buyukkocak , Derya Aksaray , Yasin Yazıcıoğlu

This paper investigates the problem of designing control policies that satisfy high-level specifications described by signal temporal logic (STL) in unknown, stochastic environments. While many existing works concentrate on optimizing the…

Systems and Control · Electrical Eng. & Systems 2024-12-16 Siqi Wang , Shaoyuan Li , Li Yin , Xiang Yin

Controller synthesis is a theoretical approach to the systematic design of discrete event systems. It constructs a controller to provide feedback and control to the system, ensuring it meets specified control specifications. Traditional…

Multiagent Systems · Computer Science 2025-09-03 Ruohan Huang , Zining Cao

In this paper, a method for learning a recurrent neural network (RNN) controller that maximizes the robustness of signal temporal logic (STL) specifications is presented. In contrast to previous methods, we consider synthesizing the RNN…

Systems and Control · Electrical Eng. & Systems 2021-12-20 Wataru Hashimoto , Kazumune Hashimoto , Shigemasa Takai

In this paper, we develop a novel adaptation-based approach to constrained control design under multiple state and input constraints. Specifically, we introduce a method for synthesizing any number of time-varying candidate control barrier…

Optimization and Control · Mathematics 2023-04-05 Mitchell Black , Dimitra Panagou

The control of dynamical systems under temporal logic specifications among uncontrollable dynamic agents is challenging due to the agents' a-priori unknown behavior. Existing works have considered the problem where either all agents are…

Systems and Control · Electrical Eng. & Systems 2025-07-21 Xinyi Yu , Yiqi Zhao , Xiang Yin , Lars Lindemann

This paper presents a spatiotemporal tube (STT)-based control framework for satisfying Signal Temporal Logic (STL) specifications in unknown control-affine systems. We formulate STL constraints as a robust optimization problem (ROP) and…

Systems and Control · Electrical Eng. & Systems 2025-12-05 Ratnangshu Das , Subhodeep Choudhury , Pushpak Jagtap

This paper addresses the planning and control problem for nonlinear systems under Signal Temporal Logic (STL) specifications. We first decompose an STL task into finite local tasks. A sampling-based method generates sequences of local…

Systems and Control · Electrical Eng. & Systems 2026-04-28 Zuodong Pan , Xu Fang , Wei Ren

We present a compositional control synthesis method based on assume-guarantee contracts with application to correct-by-construction design of vehicular mission plans. In our approach, a mission-level specification expressed in a fragment of…

Systems and Control · Electrical Eng. & Systems 2022-09-22 Muhammad Waqas , Nikhil Vijay Naik , Petros Ioannou , Pierluigi Nuzzo

Because of the scalability issues associated with the symbolic controller synthesis approach, employing it in a multi-agent system (MAS) framework becomes difficult. In this paper, we present a novel approach for synthesizing distributed…

Systems and Control · Electrical Eng. & Systems 2023-12-14 David Smith Sundarsingh , Ratnangshu Das , Adnane Saoud , Pushpak Jagtap